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Finding the Fourth Proportional to 338.34, 465.84 and 259.72

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Solution

The fourth proportional to 338.34, 465.84 and 259.72 is: 357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 465.84 = 259.72 : x
  2. Step 2: Convert to fraction form
    338.34/465.84 = 259.72/x
  3. Step 3: Cross multiply
    338.34x = 465.84 × 259.72
  4. Step 4: Simplify right side
    338.34x = 120,987.96
  5. Step 5: Solve for x
    x = 120,987.96/338.34
  6. Step 6: Final answer
    x = 357.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.